{"common":{"save":0,"post_id":"6470","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7018","mon_id":"1158767","chapter_id":"1158892","post_id":"6470","question":"<p>Trong m\u1eb7t ph\u1eb3ng v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 Oxy , cho \u0111\u01b0\u1eddng th\u1eb3ng d c\u1eaft hai tr\u1ee5c Ox v&agrave; Oy l\u1ea7n l\u01b0\u1ee3t t\u1ea1i&nbsp;hai \u0111i\u1ec3m&nbsp;&nbsp;<span class=\"math-tex\">$B(-3;0)$<\/span>v&agrave;&nbsp;<span class=\"math-tex\">$A(0;2)$<\/span>.&nbsp;Vi\u1ebft ph\u01b0\u01a1ng tr&igrave;nh \u0111\u01b0\u1eddng th\u1eb3ng d.<\/p>","options":["<strong>A. <span class=\"math-tex\">$d:\\dfrac{x}{3}+\\dfrac{y}{2}=1$<\/span> <\/strong>","<strong>B. <span class=\"math-tex\">$d:\\dfrac{x}{2}+\\dfrac{y}{-3}=1$<\/span> <\/strong>","<strong>C. <span class=\"math-tex\">$d:\\dfrac{-x}{2}+\\dfrac{y}{-3}=1$<\/span> <\/strong>","<strong>D. <span class=\"math-tex\">$d:\\dfrac{-x}{3}+\\dfrac{y}{2}=1$<\/span> <\/strong>"],"correct":"4","level":"2","hint":"","answer":"<p>Ph\u01b0\u01a1ng tr&igrave;nh \u0111o\u1ea1n ch\u1eafn c\u1ee7a \u0111\u01b0\u1eddng&nbsp;th\u1eb3ng d c\u1eaft hai tr\u1ee5c Ox v&agrave; Oy l\u1ea7n l\u01b0\u1ee3t t\u1ea1i&nbsp;hai \u0111i\u1ec3m&nbsp;<span class=\"math-tex\">$B(-3;0)$<\/span>&nbsp;v&agrave;&nbsp;&nbsp;<span class=\"math-tex\">$A(0;2)$<\/span>&nbsp;l&agrave;<\/p><p><strong><span class=\"math-tex\">$d:\\dfrac{x}{-3}+\\dfrac{y}{2}=1\\Leftrightarrow\\dfrac{-x}{3}+\\dfrac{y}{2}=1$<\/span>.<\/strong><\/p><p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.&nbsp;<span class=\"math-tex\">$d:\\dfrac{-x}{3}+\\dfrac{y}{2}=1$<\/span>&nbsp;<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-31 10:45:57","option_type":"math","len":0},{"id":"7020","mon_id":"1158767","chapter_id":"1158892","post_id":"6470","question":"<p>Ph\u01b0\u01a1ng tr&igrave;nh \u0111\u01b0\u1eddng th\u1eb3ng d&nbsp;\u0111i qua <span class=\"math-tex\">$A(1;-2)$<\/span>&nbsp;v&agrave;&nbsp;vu&ocirc;ng g&oacute;c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$\\Delta:2x-3y+1=0$<\/span>&nbsp;l&agrave;:<\/p>","options":["<strong>A. <span class=\"math-tex\">$3x-2y-7=0$<\/span><\/strong>","<strong>B. <span class=\"math-tex\">$3x+2y+1=0$<\/span><\/strong>","<strong>C. <span class=\"math-tex\">$x+3y+5=0$<\/span><\/strong>","<strong>D. <span class=\"math-tex\">$2x+3y-3=0$<\/span><\/strong>"],"correct":"2","level":"2","hint":"","answer":"<p>\u0110\u01b0\u1eddng th\u1eb3ng&nbsp;<span class=\"math-tex\">$\\Delta$<\/span>&nbsp;c&oacute; m\u1ed9t&nbsp;v&eacute;ct\u01a1 ph&aacute;p tuy\u1ebfn l&agrave;&nbsp;<span class=\"math-tex\">$(2;-3)$<\/span>.<\/p><p>V&igrave;&nbsp;<span class=\"math-tex\">$d\\bot\\Delta$<\/span>&nbsp;n&ecirc;n m\u1ed9t v&eacute;ct\u01a1 ph&aacute;p tuy\u1ebfn c\u1ee7a d l&agrave;&nbsp;<span class=\"math-tex\">$\\overrightarrow{n}=(3;2)$<\/span>.<\/p><p>\u0110\u01b0\u1eddng th\u1eb3ng d \u0111i qua&nbsp;<span class=\"math-tex\">$A(1;-2)$<\/span>&nbsp;v&agrave; c&oacute;&nbsp;m\u1ed9t v&eacute;ct\u01a1 ph&aacute;p tuy\u1ebfn l&agrave;&nbsp;<span class=\"math-tex\">$\\overrightarrow{n}=(3;2)$<\/span>&nbsp;th&igrave; c&oacute; ph\u01b0\u01a1ng tr&igrave;nh l&agrave; :<\/p><p><strong><span class=\"math-tex\">$3(x-1)+2(y+2)=0\\Leftrightarrow$<\/span><span class=\"math-tex\">$3x+2y+1=0$<\/span>.<\/strong><\/p><p>Ch\u1ecdn<strong>&nbsp;<span style=\"color:#16a085;\">B.&nbsp;<span class=\"math-tex\">$3x+2y+1=0$<\/span><\/span><\/strong><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-06-01 01:48:02","option_type":"math","len":0},{"id":"7021","mon_id":"1158767","chapter_id":"1158892","post_id":"6470","question":"<p>Cho \u0111\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$d:2x-6y+7=0$<\/span>. N\u1ebfu \u0111\u01b0\u1eddng th\u1eb3ng&nbsp;<span class=\"math-tex\">$\\Delta$<\/span>&nbsp;\u0111i qua g\u1ed1c t\u1ecda \u0111\u1ed9 v&agrave; song song v\u1edbi g&oacute;c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng d th&igrave;&nbsp;<span class=\"math-tex\">$\\Delta$<\/span>&nbsp;c&oacute; ph\u01b0\u01a1ng tr&igrave;nh l&agrave;:<\/p>","options":["<strong>A. <span class=\"math-tex\">$3x-y=0$<\/span><\/strong>","<strong>B. <span class=\"math-tex\">$x+3y=0$<\/span><\/strong>","<strong>C. <span class=\"math-tex\">$x-3y=0$<\/span><\/strong>","<strong>D. <span class=\"math-tex\">$3x+y=0$<\/span><\/strong>"],"correct":"3","level":"2","hint":"","answer":"<p>\u0110\u01b0\u1eddng th\u1eb3ng&nbsp;d&nbsp;c&oacute; m\u1ed9t&nbsp;v&eacute;ct\u01a1 ph&aacute;p tuy\u1ebfn l&agrave;&nbsp;<span class=\"math-tex\">$(1;-3)$<\/span>.<\/p><p>V&igrave;&nbsp;<span class=\"math-tex\">$\\Delta||d$<\/span>&nbsp;n&ecirc;n m\u1ed9t v&eacute;ct\u01a1 ph&aacute;p tuy\u1ebfn c\u1ee7a <span class=\"math-tex\">$\\Delta$<\/span> l&agrave;&nbsp;<span class=\"math-tex\">$\\overrightarrow{n}=(1;-3)$<\/span>.<\/p><p>\u0110\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$\\Delta$<\/span> \u0111i qua&nbsp;<span class=\"math-tex\">$O(0;0)$<\/span>&nbsp;v&agrave; c&oacute;&nbsp;m\u1ed9t v&eacute;ct\u01a1 ph&aacute;p tuy\u1ebfn l&agrave;&nbsp;<span class=\"math-tex\">$\\overrightarrow{n}=(1;-3)$<\/span>&nbsp;th&igrave; c&oacute; ph\u01b0\u01a1ng tr&igrave;nh l&agrave; :<\/p><p><strong><span class=\"math-tex\">$1(x-0)-3(y-0)=0\\Leftrightarrow$<\/span><span class=\"math-tex\">$x-3y=0$<\/span>.<\/strong><\/p><p>Ch\u1ecdn<strong>&nbsp;<span style=\"color:#16a085;\">C.&nbsp;<span class=\"math-tex\">$x-3y=0$<\/span><\/span><\/strong><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-06-01 01:54:14","option_type":"math","len":0}]}